建立了二自由度非线性包装系统模型，得到了冲击动力学方程并对其进行了数值求解，在此基础上，研究了带有关键部件双曲正切包装系统的冲击响应特性。矩形脉冲为各种脉冲激励中最严酷的，因此选矩形脉冲为研究对象，得到了关键部件的三维冲击谱图。从谱图中进一步讨论了频率比、脉冲激励幅值、阻尼和系统参数对关键部件冲击谱的影响规律，结果表明频率比、脉冲激励幅值、阻尼和系统参数对关键部件冲击响应峰值均有显著影响。为产品缓冲包装设计提供一定的科学依据。

Two-degree-of-freedom nonlinear packaging system model was established. The shock dynamic equations were obtained and their numerical solutions were solved. The shock response characteristics of hyperbolic tangent packaging system with critical component were investigated. The rectangular acceleration pulse was chosen in the experiment due to its highest severity among all kinds of pulse. The influences of frequency ratio, amplitude of pulse excitation, damp, and system parameters on shock response of critical components were studied. The results showed that frequency ratio, amplitude of pulse excitation, damp, and system parameters all have significant influence on the peak value of shock response of critical components. The purpose was to provide reference on cushion packaging design.